//字符串编辑距离
#include <iostream>
#include <vector>
#include <string>
using namespace std;
int main()
{
    string s1,s2;
    while(cin>>s1>>s2)
    {
        int n=s1.size(),m=s2.size();
        vector<vector<int>>dp(n+1,vector<int>(m+1,0));
        for(int j=0;j<=m;j++)
        {
            dp[0][j]=j;
        }
        for(int i=0;i<=n;i++)
        {
            dp[i][0]=i;
        }
        for(int i=1;i<=n;i++)
        {
            for(int j=1;j<=m;j++)
            {
                int cmp=min(dp[i-1][j],dp[i][j-1])+1;
                int cmp2=0;
                if(s1[i-1]==s2[j-1]) cmp2=dp[i-1][j-1];
                else cmp2=dp[i-1][j-1]+1;
                dp[i][j]=min(cmp,cmp2);
            }
        }
        cout<<dp[n][m]<<endl;
    }
    return 0;
}